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Finding the Fourth Proportional to 5,823.56, 8,036.11 and 3,305.72

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Solution

The fourth proportional to 5,823.56, 8,036.11 and 3,305.72 is: 4,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.56 : 8,036.11 = 3,305.72 : x
  2. Step 2: Convert to fraction form
    5,823.56/8,036.11 = 3,305.72/x
  3. Step 3: Cross multiply
    5,823.56x = 8,036.11 × 3,305.72
  4. Step 4: Simplify right side
    5,823.56x = 26,565,108.57
  5. Step 5: Solve for x
    x = 26,565,108.57/5,823.56
  6. Step 6: Final answer
    x = 4,561.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.